2021/12/21 by Inessa I. Pavlyuk, Pavlyuk, Inessa I., S. V. Sudoplatov +1
Mathematics · #03C07 #03C10 #03C68 #20E34 #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2112.11341
openalex publication_date 2021/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study applications of a general approach for arities and arizabilities of theories to group and monoid theories. It is proved that a theory of a group G is aritizable if and only if G is finite. It is shown that this criterion does not hold for monoids/groupoids: there is an infinite monoid/groupoid having a binary theory.